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Applied Optics

Applied Optics


  • Vol. 22, Iss. 14 — Jul. 15, 1983
  • pp: 2182–2188

Restoration of images with missing high-frequency components using quadratic programming

Nabih N. Abdelmalek  »View Author Affiliations

Applied Optics, Vol. 22, Issue 14, pp. 2182-2188 (1983)

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A method for restoring an optical image which is subjected to low-pass frequency filtering is presented. It is assumed that the object whose image is restored is of finite spatial extent. The problem is treated as an algebraic image-restoration problem which is then solved as a quadratic programming problem with bounded variables. The regularization technique for the ill-posed system is to replace the consistent system of the quadratic programming problem by an approximate system of smaller rank. The rank which gives a best or near-best solution is estimated. This method is a novel one, and it compares favorably with other known methods. Computer-simulated examples are presented. Comments and conclusions are given.

© 1983 Optical Society of America

Original Manuscript: November 2, 1982
Published: July 15, 1983

Nabih N. Abdelmalek, "Restoration of images with missing high-frequency components using quadratic programming," Appl. Opt. 22, 2182-2188 (1983)

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